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Finding the Fourth Proportional to 14,110.23, 19,472.34 and 7,737.40

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Solution

The fourth proportional to 14,110.23, 19,472.34 and 7,737.40 is: 10,677.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,110.23 : 19,472.34 = 7,737.40 : x
  2. Step 2: Convert to fraction form
    14,110.23/19,472.34 = 7,737.40/x
  3. Step 3: Cross multiply
    14,110.23x = 19,472.34 × 7,737.40
  4. Step 4: Simplify right side
    14,110.23x = 150,665,227.70
  5. Step 5: Solve for x
    x = 150,665,227.70/14,110.23
  6. Step 6: Final answer
    x = 10,677.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.